AN ACR FLC FLYING A320 ON APCH TO LSE REACTED TO GPWS.

Narrative

AFTER MISSED APCH AT LSE DUE TO INOP PLT CTLED LIGHTING RWY 18/36 LSE CTAF; WE ENTERED THE PUBLISHED MISSED APCH VOR 36 LSE AT 3000 FT; CLRED TO 4000 FT. THEN RECLRED 5000 FT MSL. CAPT PF. AFTER ARPT LIGHTING RE-ESTABLISHED; REQUESTED ZMP VISUAL APCH RWY 36 LSE. DURING DSCNT IN IMC ENCOUNTERED AT 3500 FT; ATC CLRNC FOR VOR 36 APCH LSE RWY 36 AT 3200 FT MSL. GPWS SINGLE TERRAIN ADVISORY RECEIVED DUE TO DSCNT RATE FOR APCH. I IMMEDIATELY LEVELED OFF AT 3200 FT AND WE WERE GIVEN CLB CLRNC TO 3500 FT BY ZMP AND THEN COMPLETED APCH TO LSE WITHOUT INCIDENT. THERE WERE SOME CRM ISSUES IN COCKPIT FROM FO. ADDITIONALLY; MGMNT AT MY COMPANY DID NOT NOTAM CTAF PLT CTLED LIGHTING AS PER MY REQUEST. ADDITIONALLY; ONE OF THE FLT ATTENDANTS HAD HEARD THE GPWS ALERT AND QUESTIONED THE ALERT WITH MGMNT. THE MISSED APCH AND VISUAL APCH PROCS WERE FOLLOWED TO THE BOOK; AS WAS THE SINGLE GPWS WARNING ALERT PROCS FOR NIGHTTIME MISSED IMC. MISSED APCH PROCS WERE NOT INITIATED BECAUSE WE WERE NOT ON AN APCH SEGMENT AND MSP APCH CTLR RECLRED US TO 3500 FT IMMEDIATELY FOLLOWING GPWS ALERT.